Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

How to order the complex numbers

Audience:

It is sometimes said that the complex numbers cannot be ordered. This video explains why that is, and how we fix it.


Analytics

4.75 Overall score*
131 Rank
7 Votes
5 Comments

Comments

6.1

I found the humour and the motivation of the humour funny

2

This video aims at defining an ordering of complex numbers. However, the motivation of why an ordering of complex number is important to have does not come across and at the end the creator even says that the derived ordering is also made up by them. If there were some interesting application shown that this way of ordering complex number has some interesting consequences, the video would be much better. Since there does not seem to be any mathematical foundation, the video loses some of its value.

4.9

I don’t really understand why your “axioms” are not rather theorems. Is the proposed ordering unique amongst “relations” that satisfy your axioms? Was this studied before? Why do you say it’s all just a joke? What insights does it actually provide?

4.8

The video is very accurate, but it does not introduce anything original and is similar to a traditional lecture.

7.5

The intro was great by proposing a solution to a impossible problem the video piqued my interest The explanation on ordering rules was clear and understandable. I found the solution proposed by the creator hilaruous im not going to forget it anytime soon . The addition of the new axioms on the complex ordering was also a great addition